Exact Calculation of Sums of Cones in Lorentz Spaces
- Autores: Berezhnoi E.I.1
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Afiliações:
- Yaroslavl State University
- Edição: Volume 52, Nº 2 (2018)
- Páginas: 134-138
- Seção: Brief Communications
- URL: https://journals.rcsi.science/0016-2663/article/view/234457
- DOI: https://doi.org/10.1007/s10688-018-0218-3
- ID: 234457
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Resumo
A method for exactly calculating norm on the sum of the cones of nonincreasing or concave functions in Lorentz spaces is proposed. The obtained result makes it possible to prove new extrapolation theorems for cones in Lorentz, Lebesgue, and Marcinkiewicz spaces with exact constants.
Sobre autores
E. Berezhnoi
Yaroslavl State University
Autor responsável pela correspondência
Email: ber@uniyar.ac.ru
Rússia, Yaroslavl
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